1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RSB [31]
2 years ago
11

A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the

area of the largest garden that could be built?
(A) Define a function that relates the area enclosed by the fence (in 〖ft.〗^2) in terms of its length (in ft.)
(B) What is the practical domain of this function?
(C) What is the largest area that the fence could enclose?
Mathematics
1 answer:
vovangra [49]2 years ago
4 0

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

You might be interested in
Help us appreciated:)
Lelu [443]
Answer:

reflect over y-axis and then translate 1 unit up



hope this helped
4 0
2 years ago
Find the exact solution of x 3x^2+7=28
chubhunter [2.5K]

Answer

x^2 = 7

so yeah u could've looked it up

6 0
3 years ago
Read 2 more answers
Consider the diagram.
damaskus [11]
Side Side Side is the answer
7 0
3 years ago
Read 2 more answers
Briana bought a lot of snacks from Dollar General last night for $193.84, not including tax. If the tax rate was 9%, how much wa
jeyben [28]

I believe the total is $211.27.

After doing multiple searches on the internet, I believe that tax rate is a percentage of the product that is added to the total cost.

9 percent of 193.84 is 17.4456, which rounds up to 17.44, and 17.44 added to 193.84 is 211.27.

<em>Please, if something isn't correct here, don't refrain to tell me, and I will correct my mistake. Thank you.</em>

6 0
3 years ago
Read 2 more answers
I'LL GIVE BRAINLIEST FOR FASTEST CORRECT ANSWER AND YOU NEED TO EXPLAIN!!
Kazeer [188]

Answer + Explanation:

5 Cupcakes = $7.5.
How: First you see that 1 cupcake is $1.50. Multiply 5 by 1.50 and you get 7.50

18 Dollars = 12 Cupcakes
How: First you see that 1 cupcake is $1.50. Multiply 1.50 by numbers until you see 18.

18 Cupcakes = $27
How: First you see that 1 cupcake is $1.50. Multiply 18 by 1.50 and you get 27.


I Hope This Helped :D

6 0
1 year ago
Read 2 more answers
Other questions:
  • The slope is 2 the points are (1,1). Déterminé the equation
    11·1 answer
  • Simplify (7x) - (-2x)​
    11·2 answers
  • Statistics question, please help.
    14·2 answers
  • What do (3 2-8+2)x4 =
    8·1 answer
  • Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
    7·1 answer
  • 20 - 5 X 2 + 6 what is order of operation​
    7·1 answer
  • Find the value of <br><img src="https://tex.z-dn.net/?f=3%20%20%5Cfrac%7B1%7D%7B5%7D%20%20%5Cdiv%20%20%5Cfrac%7B8%7D%7B20%7D%20"
    12·2 answers
  • Solve for x. Show your work.<br> -1/2x &lt; -12x
    12·2 answers
  • there are 15 pieces of fruit in a bowl and 9 of them are oranges what is the percent of the peices of fruit in the bowl​
    11·1 answer
  • There are 3 types of gummy bears:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!